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Finding the Third Proportional to 22,712 and 48,529

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Solution

The third proportional to 22,712 and 48,529 is: 103,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712 : 48,529 = 48,529 : x
  2. Step 2: Convert to fraction form
    22,712/48,529 = 48,529/x
  3. Step 3: Cross multiply
    22,712x = 48,529 × 48,529
  4. Step 4: Simplify right side
    22,712x = 2,355,063,841
  5. Step 5: Solve for x
    x = 2,355,063,841/22,712
  6. Step 6: Final answer
    x = 103,692.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.